Hey all, I'll start by saying the issues you're seeing here are my fault and they are mostly not intentional. When I was building the Ping System I built it on top of the Comms system from OW1, and some of these issues are because of things I missed in that upgrade.
The most obviously unfortunate one is "Group Up" saying "I'm on my way". This was a feature in OW1 (it said "I'm with you" IIRC), but it only happened within 40 meters when you were aiming at an ally. I accidentally bypassed a check, and that distance defaulted to 500 meters instead of 40. This functionality is disabled entirely for the mid-season patch, but I'd like to bring back in a minor way in the future.
The other bug that this thread focuses on is harder to diagnose, but we have a bug in Season 2 right now where if you open the ping wheel and then cancel it (with right mouse or with B on xbox, circle on playstation), *then* use the comms wheel you fire a ping like "Going In". This is fixed in Season 3 because we were too far along with Season 2.5 when we found it a couple of weeks ago. Apologies for that.
With regards to comms and pings being replaced with the "I'm Respawning" text, there are things we can improve here too, but obviously it's mostly intentional. "Fall Back" will work while dead in the mid-season patch for example, as I've added it to the list of comms/pings that can do this. "Fall Back" will have unique behavior while dead in that it won't place a ping in the world, it will only print the message in chat. Things like "Acknowledged", "Yes", "No", "Thanks", and "Goodbye" are still allowed while dead, but others are intentionally disallowed like "I need Healing" (no you don't you're dead), "I'm on my way" (no you aren't you're dead), and "I'm ready" (no you aren't you're dead).
I'm happy to add other comms/pings to the "allowed while dead" list if they provide useful communications.